102202000201120 has 24 divisors (see below), whose sum is σ = 241452225475524. Its totient is φ = 40880800080384.

The previous prime is 102202000201069. The next prime is 102202000201121. The reversal of 102202000201120 is 21102000202201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102074731065616 + 127269135504 = 10103204^2 + 356748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102202000201120.

It is not an unprimeable number, because it can be changed into a prime (102202000201121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319381250469 + ... + 319381250788.

Almost surely, 2^{102202000201120} is an apocalyptic number.

102202000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202000201120 is an abundant number, since it is smaller than the sum of its proper divisors (139250225274404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202000201120 is an equidigital number, since it uses as much as digits as its factorization.

102202000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638762501272 (or 638762501264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102202000201120 its reverse (21102000202201), we get a palindrome (123304000403321).

The spelling of 102202000201120 in words is "one hundred two trillion, two hundred two billion, two hundred one thousand, one hundred twenty".